6. \( \frac{3}{4} \times \frac{1}{2} \quad \) 8. \( 1 \times \frac{1}{5} \quad \) 10. \( \frac{9}{10} \times 2 \)

Calculate the value by following steps: - step0: Calculate: \(\frac{3}{4}\times \frac{1}{2}\) - step1: Multiply the fractions: \(\frac{3}{4\times 2}\) - step2: Multiply: \(\frac{3}{8}\) Calculate or simplify the expression \( \frac{9}{10} \times 2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{9}{10}\times 2\) - step1: Reduce the numbers: \(\frac{9}{5}\times 1\) - step2: Multiply: \(\frac{9}{5}\) Calculate or simplify the expression \( 1 \times \frac{1}{5} \). Calculate the value by following steps: - step0: Calculate: \(1\times \frac{1}{5}\) - step1: Multiply: \(\frac{1}{5}\) Let's solve each of the problems step by step: ### Problem 6: \( \frac{3}{4} \times \frac{1}{2} \) To multiply two fractions, you multiply the numerators together and the denominators together: \[ \frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8} \] So, the result is \( \frac{3}{8} \) or \( 0.375 \). ### Problem 8: \( 1 \times \frac{1}{5} \) Multiplying a whole number by a fraction is straightforward: \[ 1 \times \frac{1}{5} = \frac{1 \times 1}{1 \times 5} = \frac{1}{5} \] Thus, the result is \( \frac{1}{5} \) or \( 0.2 \). ### Problem 10: \( \frac{9}{10} \times 2 \) Here, we multiply a fraction by a whole number: \[ \frac{9}{10} \times 2 = \frac{9 \times 2}{10} = \frac{18}{10} = \frac{9}{5} \] This can also be expressed as a mixed number: \[ \frac{9}{5} = 1 \frac{4}{5} \] So, the result is \( \frac{9}{5} \) or \( 1.8 \). ### Summary of Results: - Problem 6: \( \frac{3}{8} \) - Problem 8: \( \frac{1}{5} \) - Problem 10: \( \frac{9}{5} \) or \( 1 \frac{4}{5} \) or \( 1.8 \)